Strongly regular edge-transitive graphs
Combinatorics
2009-07-10 v1 Group Theory
Abstract
In this paper, we examine the structure of vertex- and edge-transitive strongly regular graphs, using normal quotient reduction. We show that the irreducible graphs in this family have quasiprimitive automorphism groups, and prove (using the Classification of Finite Simple Groups) that no graph in this family has a holomorphic simple automorphism group. We also find some constraints on the parameters of the graphs in this family that reduce to complete graphs.
Cite
@article{arxiv.0907.1338,
title = {Strongly regular edge-transitive graphs},
author = {Joy Morris and Cheryl E. Praeger and Pablo Spiga},
journal= {arXiv preprint arXiv:0907.1338},
year = {2009}
}
Comments
23 pages